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Finding the Fourth Proportional to 9,632.14, 14,459.73 and 5,738.38

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Solution

The fourth proportional to 9,632.14, 14,459.73 and 5,738.38 is: 8,614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.14 : 14,459.73 = 5,738.38 : x
  2. Step 2: Convert to fraction form
    9,632.14/14,459.73 = 5,738.38/x
  3. Step 3: Cross multiply
    9,632.14x = 14,459.73 × 5,738.38
  4. Step 4: Simplify right side
    9,632.14x = 82,975,425.44
  5. Step 5: Solve for x
    x = 82,975,425.44/9,632.14
  6. Step 6: Final answer
    x = 8,614.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.